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Article Dans Une Revue Phys.Rev.D Année : 2023

Schrödinger symmetry of Schwarzschild-(A)dS black hole mechanics

Résumé

We show that the dynamics of Schwarzschild-(A)dS black holes admit a symmetry under the 2d Schrödinger group, whatever the sign or value of the cosmological constant. This is achieved by reformulating the spherically-symmetric reduction of general relativity as a 2d mechanical system with a non-trivial potential controlled by the cosmological constant, and explicitly identifying the conserved charges for black hole mechanics. We expect the Schrödinger symmetry to drive the dynamics of quantum Schwarzschild-(A)dS black holes. This suggests that Schrödinger-preserving non-linear deformations (of the Gross-Piteavskii type) should capture universal quantum gravity corrections to the black hole geometry. Such scenario could be realized in condensed matter analogue models.

Dates et versions

hal-04009813 , version 1 (01-03-2023)

Identifiants

Citer

Jibril Ben Achour, Etera R. Livine, Daniele Oriti. Schrödinger symmetry of Schwarzschild-(A)dS black hole mechanics. Phys.Rev.D, 2023, 108 (10), pp.104028. ⟨10.1103/PhysRevD.108.104028⟩. ⟨hal-04009813⟩

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